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Y=X+1/X-1的导数
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Y=X+1/X-1的导数
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答案和解析
y=(x+1)/(x-1)=(x-1+2)/(x-1)=1 +2/(x-1)
y'=[1+2/(x-1)]'
=1'+[2/(x-1)]'
=0+[(-1)×2/(x-1)²](x-1)'
=-2/(x-1)²
或者直接利用公式(u/v)'=(u'v-uv')/v²来
y'=[(x+1)'(x-1)-(x-1)'(x+1)]/(x-1)²
=[(x-1)-(x+1)]/(x-1)²
=-2/(x-1)²
结果是一样的.
y'=[1+2/(x-1)]'
=1'+[2/(x-1)]'
=0+[(-1)×2/(x-1)²](x-1)'
=-2/(x-1)²
或者直接利用公式(u/v)'=(u'v-uv')/v²来
y'=[(x+1)'(x-1)-(x-1)'(x+1)]/(x-1)²
=[(x-1)-(x+1)]/(x-1)²
=-2/(x-1)²
结果是一样的.
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